Number Converter

A Number Converter is a powerful tool that allows users to convert numbers between different numeral systems, making it essential for mathematics, computer science, electronics, and data processing. It simplifies the conversion of numbers between binary, decimal, octal, hexadecimal, and Roman numerals.

Common Number Conversions:

• Binary (Base 2) to Decimal (Base 10) – Used in computing and digital systems.
• Decimal (Base 10) to Binary (Base 2) – Converts standard numbers into binary form.
• Octal (Base 8) to Decimal (Base 10) & Binary (Base 2) – Useful in computer memory addressing.
• Hexadecimal (Base 16) to Decimal (Base 10) & Binary (Base 2) – Important in programming and color codes.
• Roman Numerals to Decimal & Vice Versa – Converts between historical and modern number systems.

Key Uses of the Number Converter:

• Computer Science & Programming – Converts numbers for coding, data storage, and networking.
• Electronics & Digital Circuits – Used in microprocessor programming and logic design.
• Mathematics & Education – Helps students and professionals understand number systems.
• Roman Numeral Conversions – Useful for history, dates, and numbering systems.

Key Features of the Number Converter:

• Accurate & Instant Conversions – Converts numbers between numeral systems quickly.
• Supports Multiple Formats – Handles binary, decimal, octal, hexadecimal, and Roman numerals.
• User-Friendly Interface – Easy input and output format selection.
• Time-Saving & Error-Free – Eliminates manual calculations and mistakes.

1. Enter the Number

• Input the number you want to convert.
• Example: "1010" (Binary) or "255" (Decimal).
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2. Select the Input Format

• Choose the base of the number (Binary, Decimal, Octal, Hexadecimal, or Roman).

3. Select the Output Format

• Choose the format you want to convert the number into.



4. Click ‘Convert’

• The tool applies the conversion formula and displays the result instantly.

Example 1: Binary to Decimal

Input: 1010₂ (Binary)

Formula: (1 × 2³) + (0 × 2²) + (1 × 2¹) + (0 × 2⁰) = 10₁₀ (Decimal)

Example 2: Decimal to Hexadecimal

Input: 255₁₀ (Decimal)

Formula: 255 ÷ 16 = 15 R15 → FF₁₆ (Hexadecimal)



Example 3: Roman to Decimal

Input: XIV (Roman Numeral)

Formula: X (10) + IV (4) = 14₁₀ (Decimal)

Here is a Number Converter Reference Table for common numeral system conversions:



From Number System

To Number System

Example Conversion

Decimal (Base 10)

Binary (Base 2)

25 → 11001

Decimal (Base 10)

Octal (Base 8)

25 → 31

Decimal (Base 10)

Hexadecimal (Base 16)

25 → 19

Binary (Base 2)

Decimal (Base 10)

11001 → 25

Binary (Base 2)

Octal (Base 8)

11001 → 31

Binary (Base 2)

Hexadecimal (Base 16)

11001 → 19

Octal (Base 8)

Decimal (Base 10)

31 → 25

Octal (Base 8)

Binary (Base 2)

31 → 11001

Octal (Base 8)

Hexadecimal (Base 16)

31 → 19

Hexadecimal (Base 16)

Decimal (Base 10)

19 → 25

Hexadecimal (Base 16)

Binary (Base 2)

19 → 11001

Hexadecimal (Base 16)

Octal (Base 8)

19 → 31